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Finding the Third Proportional to 201,791 and 424,495

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Solution

The third proportional to 201,791 and 424,495 is: 892,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,791 : 424,495 = 424,495 : x
  2. Step 2: Convert to fraction form
    201,791/424,495 = 424,495/x
  3. Step 3: Cross multiply
    201,791x = 424,495 × 424,495
  4. Step 4: Simplify right side
    201,791x = 180,196,005,025
  5. Step 5: Solve for x
    x = 180,196,005,025/201,791
  6. Step 6: Final answer
    x = 892,983.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.